Question

Problem 1 The following table summarizes the results for all values of d. for a converging lens Case Type Direction Magnification S< do < 26 Real Inverted Enlarged d -2/ Real Inverted Same size de > 27 Real Inverted Reduced d. Virtual Upright Enlarged Sketch and find the image for each case shown in the table by changing the objects position Problem 2 0.25 p 0.23 P AI (b) Graded index (GRIN) rod lens is a glass rod whose refractive index changes parabolically from its central axis where the index is maximum. It is like a very thick rod, whose diameter is perhaps 0.5-5 mm. Such GRIN rod lenses of different lengths can be used to focus or collimate light rays as illustrated in Figure. The principle of operation can be understood by considering ray trajectories in a stratified medium in which ray trajectories are sinusoidal paths. One pitch (P) is a full one period variation in the ray trajectory along the rod axis. Figure (a), (b) and (c) show half-pitch (0.5P), quarter-pitch and (0.25P) and 0.23P GRIN rod lenses. The point in (a) and (b) is on the rod face center where as in (c) it is slightly away from the rod face. (a) How would you represent Figure (a) using two conventional converging lenses? What are O and O? (b) How would you represent Figure (b) using a conventional converging lens. What is 0? at (c) Sketch ray paths for a GRIN rod with a pitch between 0.25Pand 0.5P starting from the face center. Where is 0? (d) What use is 0.23P GRIN rod lens in Figure (c)

Answer 1

o case fa doh25 I. that means when object curvature and centre yos between focus of object af f 27 Pole Pole Image First ray js Pares Parallel to axis. . After refraction it passes through Focus Second ray is pass through and refract with any deviatyon. case I - do =zf when object is at centre of curvature Pole.

പ Image care il :- doszf that ses between infiolity cyovature meanos object and centre of NI object Image case IV :- 9o5 object ses between that meanos when Pole and focus - - - - Image 24 25 F object